Yes. Myself and my spouse with our child had applied together. We were not instructed to bring our child for the interview. The test and interview is only required for adults between 18 and 55 years old. Adults more than 55 years old are not required to appear for citizenship test, but they can be invited for interview if the citizenship officer deems necessary.Not sure of this is applicable for you. Did your partner also apply with you or you & child only. Were you allow you take your child with you?
As per my experience, children can be taken to the test venue as long as they can manage themselves (like a teenager less than 18 years old) or if there is someone accompanying you (parents/friend) who takes care of the child in your absence. I had seen one family bring their parent who was managing a teenager. Children will be strictly not allowed inside the test center and interviews. Please do not take your child if your child needs attention and cannot be left alone. You may be asked to leave and take your test at a later date.